In a cyclic process, which of the following statement is correct?

Options

A. Change in internal energy is not zero
B. The system returns to its initial state and it is reversible
C. The total heat absorbed by the system is not equal to work done by the system
D. Change in internal energy is zero

Explanation

To solve the question regarding the cyclic process in thermodynamics, we will analyze each statement provided and determine which one is correct.

### Step-by-Step Solution:

1. **Understanding a Cyclic Process**:
- A cyclic process is one where a system undergoes a series of changes and eventually returns to its initial state. This means that the initial and final states of the system are the same.

2. **Change in Internal Energy**:
- The internal energy (U) of a system depends only on its state. Since the system returns to its initial state in a cyclic process, the change in internal energy (ΔU) over one complete cycle is zero.
- Therefore, the statement "the change in internal energy is not 0" is incorrect.

3. **Reversibility of the Process**:
- While a cyclic process returns to its initial state, it does not imply that the process is reversible. A reversible process must follow a specific path that can be traced back exactly. Not all cyclic processes are reversible.
- Hence, the statement "the system returns to its initial state and it is reversible" is also incorrect.

4. **Heat Absorbed vs. Work Done**:
- According to the first law of thermodynamics, the relationship is given by:
\[ \Delta Q = \Delta U + \Delta W \]
- Since we established that ΔU = 0 for a cyclic process, we have:
\[ \Delta Q = \Delta W \]
- This means that the total heat absorbed by the system is equal to the work done by the system. Therefore, the statement "the total heat absorbed by the system is not equal to the work done by the system" is incorrect.

5. **Final Conclusion**:
- The only correct statement remaining is "the change in internal energy is zero," which we established earlier. Thus, the correct option is that the change in internal energy is zero.

### Final Answer:
The correct statement in a cyclic process is: **The change in internal energy is zero.**